<PRE><B>Question 167923</B>
consecutive odd numbers follow the pattern 2x+1, 2x+3, 2x+5, etc



So the equation is {{{2x+1+2x+3+2x+5=39}}}



{{{2x+1+2x+3+2x+5=39}}} Start with the given equation.



{{{6x+9=39}}} Combine like terms on the left side.



{{{6x=39-9}}} Subtract {{{9}}} from both sides.



{{{6x=30}}} Combine like terms on the right side.



{{{x=(30)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



{{{2x+1}}} Go back to the first number



{{{2(5)+1}}} Plug in {{{x=5}}}



{{{10+1}}} Multiply



{{{11}}} Add. So the first number is 11


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{{{2x+3}}} Go back to the second number



{{{2(5)+3}}} Plug in {{{x=5}}}



{{{10+3}}} Multiply



{{{13}}} Add. So the second number is 13


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{{{2x+5}}} Go back to the third number



{{{2(5)+5}}} Plug in {{{x=5}}}



{{{10+5}}} Multiply



{{{15}}} Add. So the third number is 15





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Answer:


So the consecutive odd integers are 11, 13 and 15



Check


11+13+15 = 39
39 = 39</PRE>